查询词典 variational formulation

Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail.

首先简要地介绍了弹性材料修正后的H-R变分原理，然后用二次插值函数表示平面外应力和位移变量，并详细地推导了Hamilton正则方程的八节点等参元列式。

Moreover,the weighted residual method is utilized forestablishing the generalized variational formulation for solving three-dimensional eddy-current problems.

此外，介绍了用加权余量法建立三维涡流问题的等价广义变分问题的基本方法。

We firstly establish the variational formulation, prove the well-posedness, and then use the infinite element method to solve the problem, we provide some numerical examples as well as the convergence.

我们先建立变分公式，证明其适定性，再用无限元方法求解该变分问题，我们证明了收敛性，并提供了数值例子。

By applying global variational formulation and the generalized Lax2Milgram saddle2point theory , it is proven that the discrete problem is well2posed.

通过整体变分方法并借助推广了的Lax2Milgram 鞍点理论，证明了离散解的存在唯一性。

Dissipative and coherent effects of X-point solitons are investigated on the basis of dynamic variational formulation in two_dimensional photonic bandgap structure of square lattice.

采用变分方法对于二维矩形光子带隙结构中X点孤子的耗散以及相干作用进行了动力学分析。

To avoid the trouble to construct the basis functions, we introduce a Lagrange multiplier into the variational formulation to replace the constraint condition for the basis.

本文采用同样的思路用Galerkin 边界元方法求解带有约束条件的与第一类Fredholm 间接边界积分方程等价的变分方程，为避免构造基函数时约束条件的限制，我们采用Lagrange 乘子法，把约束条件放入变分方程中去，形成扩展的变分方程，用线形单元离散后求解。

A variational formulation level set model based on the image global information is obtained, which can detect contours both with and without gradient based on global information and eliminate the re-initialization procedure. The stopping term does not depend on the boundary gradient of the image, which overcomes greatly the "over segmentation".

针对这种情况，该文提出了一种基于图像全局信息并且不需要重新初始化的变分水平集红外图像分割方法，不考虑图像边缘梯度的影响，将图像全局信息作为外部能量项，在很大程度上克服了边缘模糊时过分割的情况。

The method uses expansion in terms of scaling functions to approximate the axial field component and transforms the field equation into a matrix equation by applying a variational formulation.

在该方法中，用尺度函数把场分量近似为级数，通过变分公式把波导问题化为矩阵方程。

For the first patern, elastic dynamics is adopted to study the steady state rolling contact, elastic dynamics incorporating with rigid dynamics is adopted to study the non-steady state. For the steady state, the analytical solution is obtained, and for the non-steady state, the variational formulation to solve the problem numerically is derived For the later patern, the function type friction coefficient is introduced. On the basis of the quasi-stastic theories of constant friction coefficients, both the exact theory and the simplified theory of the function type friction coefficient are established, the computer programms for both the theories are also made out. Using the function type friction coefficient, Shen-Hedrick-Elkins theory's application range is extended to large creepage .

对于速度对接触体力学特性的影响，本文采用弹性动力学方法和弹性动力学与刚体动力学相结合的方法分别对稳态和非稳态两种情况进行了研究，得到了稳态情况的解析解，给出了对非稳态情况进行数值求解的变分公式；对于速度对相关物理量的影响，本文主要讨论了速度对摩擦系数的影响，在滚动接触准静态理论的基础上引进了函数型摩擦系数，建立了函数型摩擦系数的滚动接触准静态精确理论和简化理论，并分别编制了相关的计算程序，还用函数型摩擦系数将简便的Shen-Hedrick-Elkins理论的适用范围扩展到大蠕滑区。

By combining cell-transit model with variational inequality formation of dynamic transportation analysis, the cell-based variational inequality formulation of dynamic user optimal assignment model is used to evaluate quantificational the affection of different management strategies cutting traffic congestion.

本文在平衡交通流分析框架下，着重研究了行人自行车对平衡交通流的影响分析、拥挤道路使用收费对平衡交通流的影响分析、基于元胞-变分不等式动态交通模型的交通评价和区域出入口交通需求O-D矩阵估计技术四个基本问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。